Class 12 CBSE Applied Maths Number Quantification & Numerical Applications Exercise 1.4

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.

Class 12 CBSE Applied Maths Number Quantification & Numerical Applications Exercise 1.4

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Q1. A woman can swim 8 km/h in still water. If the speed of the stream is 4 km/h, then find the time taken by the woman to cover the distance of 16 km upstream

Q2. A man can swim upstream at 6 km/h and downstream at 10 km/h. Find the speed of stream and speed of man in still water.

Q3. In 2 hours a boat covers a certain distance in a river downstream at 17 km/h and returns back at 9 km/h. Find the speed of the stream.

Q4. A boat goes 20 km upstream and 30 km downstream in 5 hours each time. Find the speed of that of boat in still water and the speed of the current.

Q5. The ratio of speed of a motor boat in still water and that of the current of water is 25:4.The motor boat goes certain distance downstream in 5 hours 15 minutes.How much time will it take to come back

Q6. A boat goes 20 km upstream and 22 km downstream in 6 hours. Also, it goes 25 km upstream and 33 km downstream in 8 hours. Find the speed of the boat in still water and that of the stream.

Q7. A boat covers 4 km against the stream in 1 hour and covers the same distance in the direction of stream in 40 minutes.How long will it take to go 10 km in still water?

Q8. A man take twice as long as to row a distance against the stream as to row the same distance in the direction of stream. Find the ratio of speed of man in still water to the speed of stream

Q9. A boat takes thrice as long as to go upstream to a point as to return downstream to the starting point. If the speed of the stream is 5 km/h, find the speed of boat in still water.

Q10. A boat moving upstream takes 6 hours 36 minutes to cover a certain distance while it takes 3 hours to cover the same distance downstream. Find the ratio of the speed of boat in still water to the speed of stream

Q11. A motor boat takes 3 hours to cover a certain distance upstream and returns back the same distance downstream in 1 hour 15 minutes. If the speed of the stream is 7 km/h, find the speed of boat in still water.

Q12. A boat rows a distance of 12 km downstream at 13 km/h and covers the same distance upstream at 7 km/h. Find the average speed of the boat

Q13. A man can row at 8 km/h in still water. If the speed of current is 2 km/h and he takes 4 hours to row to a place and return back, how far is the place?

Q14. The speed of a boat in still water is 12 km/h and the speed of the stream is 2 km/h. A person rows to a place at a distance of 70 km and returns back to the starting point. Find the total time taken by him.

Q15. A boat goes 30 km downstream and comes back to the starting point in 4 hours 30 minutes. If the speed of boat in still water is 15 km/h, find the speed of the stream.

Q16. A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 km/h, find the speed of the stream

Q17. A man rows to a place at a distance of 48 km and returns back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the speed of stream.

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